A thin metal cylinder of length L and radius R₁ is coaxial with a thin metal cylinder of length L and larger radius R₂. The space between the two coaxial cylinders is filled with a material that has resistivity p. The two cylinders are connected to the terminals of a battery with potential difference AV, causing current I to flow radially from the inner cylinder to the outer cylinder. Find an expression for the resistance of this device in terms of L, R₁, R2, and p.

A thin metal cylinder of length L and radius R₁ is coaxial with a thin metal cylinder of length L and larger radius R₂. The space between the two coaxial cylinders is filled with a material that has resistivity p. The two cylinders are connected to the terminals of a battery with potential difference AV, causing current I to flow radially from the inner cylinder to the outer cylinder. Find an expression for the resistance of this device in terms of L, R₁, R2, and p.